Question

determine if there is a correlation and slope for the scatterplot. positive correlation, positive slope positive correlation, negative slope negative correlation, negative slope no correlation, undefined slope

Explanation:

Step1: Understand correlation types

Positive correlation: as \(x\) increases, \(y\) increases. Negative correlation: as \(x\) increases, \(y\) decreases. No correlation: no clear pattern.

Step2: Analyze the scatter - plot

Looking at the scatter - plot, as \(x\) values increase, \(y\) values also tend to increase. So, there is a positive correlation.

Step3: Determine the slope

The slope of the line of best fit (if drawn) for a positive correlation is positive. A positive slope means \(y = mx + b\) where \(m>0\) (as \(x\) increases, \(y\) increases).

Answer:

positive correlation, positive slope